Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\)
From MaRDI portal
Publication:1695726
DOI10.1007/s13163-017-0239-0zbMath1381.37056OpenAlexW2736496208MaRDI QIDQ1695726
Publication date: 8 February 2018
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13163-017-0239-0
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)
Related Items (7)
Special foliations on \(\mathbb{CP}^2\) with a unique singular point ⋮ Foliations on \(\mathbb{P}^2\) with only one singular point ⋮ A family of foliations with one singularity ⋮ A family of dicritical foliations with one singularity ⋮ On the GIT-stability of foliations of degree 3 with a unique singular point ⋮ Cayley-Bacharach and singularities of foliations ⋮ Foliations on \(\mathbb{CP}^2\) with a unique singular point without invariant algebraic curves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Foliations on \(\mathbb{CP}^2\) of degree 2 with degenerate singularities
- Stratification of the space of foliations on \(\mathbb{CP}^2\)
- Classic geometry of certain quadratic foliations
- Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
- On the classification of nilpotent singularities
- Hilbert schemes of zero-dimensional subschemes of smooth varieties
- Minimal sets of foliations on complex projective spaces
- Singularities of vector fields
- Classification of Foliations on CP^2 of degree 3 with Degenerate Singularities
- New examples of holomorphic foliations without algebraic leaves
- A plane foliation of degree different from 1 is determined by its singular scheme
- Algebraic Families on an Algebraic Surface
This page was built for publication: Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\)